If you scale down the ratio on the left, what will you get for the unknown quantity on the right? 434 miles14 gallons = ?2 gallons A. 62 miles B. 31 miles C. 124 miles D. 72 miles

Answer:option (A) 62 milesStep-by-step explanation:Data provided in the question:Ratio on the left = 434 miles : 14 gallons ratio on the right = ?? : 2 gallonsNow,The ratio on the both sides are equallet the unknown value in the ratio be 'x' Now, the ratio a : b can also be represented as [tex]\frac{a}{b}[/tex]therefore,434 miles : 14 gallons = x : 2 gallonsor⇒ [tex]\frac{\textup{434 miles}}{\textup{14 gallons}}[/tex]  = [tex]\frac{\textup{x}}{\textup{2}}[/tex] or⇒ x =  [tex]\frac{\textup{434 miles}}{\textup{14 gallons}}\times2 gallons}[/tex] or⇒ x = 62 milesHence, the correct answer is option (A) 62 miles